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Finding the Fourth Proportional to 633.98, 950.16 and 428.06

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Solution

The fourth proportional to 633.98, 950.16 and 428.06 is: 641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.98 : 950.16 = 428.06 : x
  2. Step 2: Convert to fraction form
    633.98/950.16 = 428.06/x
  3. Step 3: Cross multiply
    633.98x = 950.16 × 428.06
  4. Step 4: Simplify right side
    633.98x = 406,725.49
  5. Step 5: Solve for x
    x = 406,725.49/633.98
  6. Step 6: Final answer
    x = 641.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.